On 30.10.2018 16:50, John Peterson wrote:
On Tue, Oct 30, 2018 at 9:28 AM Hubert Weissmann
<hubert.weissm...@gmail.com <mailto:hubert.weissm...@gmail.com>> wrote:
Dear all,
I have trouble with the regularity of my solution (using
Lagrange-elements, only continuity is ensured), and therefore
thinking
whether I should switch to Clough-Tocher elements or Hermite elements.
Are you solving a problem (e.g. biharmonic equation) where you expect
the solution to be in C^1?
I forgot to mention: I am solving the laplace equation.
In principle I expect my solution to be at least in C^2; so any
improvement of the continuity is appreciated.
Usually using more complicated elements doesn't buy you much unless
the regularity of the problem calls for it, but that's just my
personal experience...
In principle, I agree with you; in the FE-region, it looks quite fine
with Lagrange elements. But since the boundary to infinite elements is
really bad, I hope to improve with other elements.
The main disadvantage is that none of them are implemented for infinite
elements nor for Tets, which I use since they are much easier to setup;
but I might change this...
But there seems to be only very little literature, where element
types
are discussed in more detail...
Can probably someone point me to some books/articles which are
helpful
in this respect?
I'd say Roy's thesis would be a good place to start:
https://repositories.lib.utexas.edu/handle/2152/17797
Thanks for that hint: It looks quite interesting; I'll have a closer look.
--
John
Hubert
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